If the distance p(x,y) from a(6,2) and b(-2,6) are equal, thn prove that y=2x
Answers
Answered by
1
Atq
pa=pb
therefore
(PA)^2=(PB)^2
(x-6)^2+(y-2)^2=(x+2)^2+(y-6)^2
x^2+36-12x+y^2+4-4y=x^2+4+4x+y^2+36-12y
12y-4y=12x+4x
8y=16x
y=2x
Hence proved
pa=pb
therefore
(PA)^2=(PB)^2
(x-6)^2+(y-2)^2=(x+2)^2+(y-6)^2
x^2+36-12x+y^2+4-4y=x^2+4+4x+y^2+36-12y
12y-4y=12x+4x
8y=16x
y=2x
Hence proved
Similar questions